Question:
In the given figure, ∠AOD = 135∘ then ∠BOC is equal to
(a) 25∘
(b) 45∘
(c) 52.5∘
(d) 62.5∘
Solution:
We know that the sum of angles subtended by opposite sides of a quadrilateral having a circumscribed circle is 180 degrees.
∴∠AOD + ∠BOC = 180∘
⇒∠BOC = 180∘ − 135∘ = 45∘
Hence, the correct answer is option (b).